Finding the Third Proportional to 455,857 and 978,174

Step by Step Solution

1. Step 1: Write the proportion equation
   455,857 : 978,174 = 978,174 : x
2. Step 2: Convert to fraction form
   455,857/978,174 = 978,174/x
3. Step 3: Cross multiply
   455,857x = 978,174 × 978,174
4. Step 4: Simplify right side
   455,857x = 956,824,374,276
5. Step 5: Solve for x
   x = 956,824,374,276/455,857
6. Step 6: Final answer
   x = 2,098,957.29